Change in kinetic energy Velocity not given

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Homework Help Overview

The problem involves calculating the change in kinetic energy of a block subjected to two opposing forces while moving along a frictionless surface. The initial and final positions of the block are provided, but the final velocity is not given, which complicates the calculation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between force, displacement, and kinetic energy, questioning how to proceed without knowing the final velocity. Some suggest using variables for mass and velocity to derive equations related to time and final velocity.

Discussion Status

The discussion is active, with participants exploring different approaches to relate the forces and displacement to the change in kinetic energy. Some guidance has been offered regarding the use of work-energy principles, but no consensus has been reached on a specific method.

Contextual Notes

Participants note the absence of the final velocity as a significant constraint in solving the problem. The problem setup emphasizes the need to consider forces and displacement in the context of kinetic energy changes.

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change in kinetic energy! Velocity not given :(

Homework Statement


Two forces, of magnitudes F1 = 70.0 N and F2 = 35.0N , act in opposite directions on a block, which sits atop a frictionless surface, as shown in the figure. Initially, the center of the block is at position xi = -2.00cm . At some later time, the block has moved to the right, and its center is at a new position, Xf = 4.00 cm .

Determine the change in the kinetic energy of the block as it moves from Xi= -2.00 to X f= 4.00

Link to the diagram : http://session.masteringphysics.com/problemAsset/1011314/13/MWE_wi_5.jpg

Homework Equations


Kinetic energy = 1/2 mv^2


The Attempt at a Solution



Since it is starting from rest, initial velocity, V0 = 0 and then d = Vf t

But here Vf is not given..
I am not sure how to proceed when there is no velocity given

Can any more help me ?

Thanks a lot before hand
 
Last edited:
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rock_star said:

Homework Statement


Two forces, of magnitudes F1 = 70.0 N and F2 = 35.0N , act in opposite directions on a block, which sits atop a frictionless surface, as shown in the figure. Initially, the center of the block is at position xi = -2.00cm . At some later time, the block has moved to the right, and its center is at a new position, Xf = 4.00 cm .

Determine the change in the kinetic energy of the block as it moves from Xi= -2.00 to X f= 4.00

Link to the diagram : http://session.masteringphysics.com/problemAsset/1011314/13/MWE_wi_5.jpg

Homework Equations


Kinetic energy = 1/2 mv^2


The Attempt at a Solution



Since it is starting from rest, initial velocity, V0 = 0 and then d = Vf t

But here Vf is not given..
I am not sure how to proceed when there is no velocity given

Can any more help me ?

Thanks a lot before hand

What is the net force acting on the block? Just keep the mass and velocity as variables, m and V for now. Write the equations to tell you how long it takes to get to the 2nd position, and what the final velocity is. Then see if some of the variable terms cancel out...
 


Change in kinetic energy = work done on the block = Force X displacement.
In the problem force and displacement is given. That is sufficient to find the KE.
 


Thank a lot everyone! :)
I understood it! :D
Thank a ton everyone!
 

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